Year of Award

2016

Degree Type

Thesis

Degree Name

Master of Philosophy (MPhil)

Department

Department of Mathematics.

Principal Supervisor

Cheung, Dennis

Keywords

Simulation methods, Numerical analysis, Correlation (Statistics)

Language

English

Abstract

We have a conjecture that “the precision of computed solutions for systems of linear equations is more closely related with componentwise condition number c(A) than normwise condition number κ(A). We conducted simulation experiments to verify this conjecture. A statistical tool, Hotelling-Williams T-Test is employed to check if difference between correlations is significant. Simulation results suggest that our conjecture is true for most of the well-known methods and matrix sizes. Keywords: condition numbers, simulation, correlation coefficients, Hotelling-Williams T-Test

Comments

Principal supervisor: Dr. Dennis Cheung. ; Thesis submitted to the Department of Mathematics. ; Thesis (M.Phil.)--Hong Kong Baptist University, 2015.

Bibliography

Includes bibliographical references (page 34)

Copyright

The author retains all rights to this work. The author has signed an agreement granting HKBU a non-exclusive license to archive and distribute their thesis.



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